(b) Based on your answer to part (a), which statement below is true? Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. Since the p-value is greater than the level of significance, the null hypothesis is rejected. OSince the p-value is greater than the level of significance, the null hypothesis is not rejected.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Suppose there is a claim that a certain population has a mean, µ, that is
different than 9. You want to test this claim. To do so, you collect a large
random sample from the population and perform a hypothesis test at the
0.05 level of significance. To start this test, you write the null hypothesis, H
and the alternative hypothesis, H, as follows.
Ho: µ=9
H1: µ#9
Suppose you also know the following information.
The value of the test statistic based on the sample is 1.745 (rounded
to 3 decimal places).
The p-value is 0.081 (rounded to 3 decimal places).
(a) Complete the steps below for this hypothesis test.
Normal Distribution
Step 1: Select one-tailed or two-tailed.
O One-tailed
O Two-tailed
03+
Step 2: Enter the test statistic.
(Round to 3 decimal places.)
Step 3: Shade the area represented by
the p-value.
0.1-
Step 4: Enter the p-value.
(Round to 3 decimal places.)
(b) Based on your answer to part (a), which statement below is true?
O Since the p-value is less than (or equal to) the level of
significance, the null hypothesis is rejected.
Since the p-value is less than (or equal to) the level of
significance, the null hypothesis is not rejected.
O Since the p-value is greater than the level of
significance, the null hypothesis is rejected.
O Since the p-value is greater than the level of
significance, the null hypothesis is not rejected.
Transcribed Image Text:Suppose there is a claim that a certain population has a mean, µ, that is different than 9. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis, H and the alternative hypothesis, H, as follows. Ho: µ=9 H1: µ#9 Suppose you also know the following information. The value of the test statistic based on the sample is 1.745 (rounded to 3 decimal places). The p-value is 0.081 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 03+ Step 2: Enter the test statistic. (Round to 3 decimal places.) Step 3: Shade the area represented by the p-value. 0.1- Step 4: Enter the p-value. (Round to 3 decimal places.) (b) Based on your answer to part (a), which statement below is true? O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. O Since the p-value is greater than the level of significance, the null hypothesis is rejected. O Since the p-value is greater than the level of significance, the null hypothesis is not rejected.
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